Synthesis of Variance

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1941 English Publisher:Cambridge University Press (CUP)Journal:Psychometrika, volume 6, pages 309-316 (issn: 0033-3123, eissn: 1860-0980,

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Authors: Satterthwaite, Franklin E.;

doi: 10.1007/bf02288586

Synthesis of Variance

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Abstract

The distribution of a linear combination of two statistics distributed as is Chi-square is studied. The degree of approximation involved in assuming a Chi-square distribution is illustrated for several representative cases. It is concluded that the approximation is sufficiently accurate to use in many practical applications. Illustrations are given of its use in extending the Chi-square, the Student “t” and the Fisher “z” tests to a wider range of problems.

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University of Iowa
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